What is loss in truck operating cost for the logging company

Assignment Help Civil Engineering

Reference no: EM13316862

Three parallel rural routes connect two cities A and B. Traffic on these routes mainly consists of heavy trucks for a logging company, and passenger vehicle flow can be neglected. The performance functions of these three routes are: t1=50+0.2v1, t2=80+0.1v2, t3=120 + 0.05v3 t1, t2, t3 and are travel times in minutes; v1, v2, v3 are flows in number of trucks per day. There is a bridge along route 2. The structural design of the bridge allows a maximum of 1000 trucks per day. However, the bridge has been deteriorating in recent years due to the lack of proper maintenance. At the beginning of each logging season, the company will assess the condition of the bridge to determine the maximum trucks per day the bridge can safely handle. This season, the company discovers that the bridge can only handle 400 trucks per day. The company also estimates that it will generate a demand of 1500 trucks per day between the two cities in this logging season. The operating cost of each truck is $2 per minute.

1. Formulate an optimization problem to help the company find a routing strategy for this season in order to reduce its transportation operating cost.

2. Solve the problem and report the number of trucks on each route and the total operating cost of the logging company.

3. What is the loss in truck operating cost for the logging company compared to when the bridge was at its design loading capacity?

4. Derive the KKT condition of the problem formulated in part 1.

Reference no: EM13316862

Questions Cloud

Calculate the retardation coefficient for the three chemical : Groundwater has been contaminated with three chemicals: benzene (log Kow 2.13), pentachlorobenzene (log Kow 5.03), and naphthalene (log Kow 3.36). The aquifer (rs = 2.3 g/cm3; h = 0.4; foc = 0.02) has a gradient of 0.004 and hydraulic conductivity..

What is the max height of the rocket : A rocket is launched from rest with an acceleration of 30m/s^2 for the duration of one second when it runs out of fuel. What is the max height of the rocket

Calculate the hydraulic conductivity k of the soil sample : The diameter of the sample and the standpipe were 9.8 cm and 0.75 cm, respectively. The water level in the standpipe was observed to fall from 60 cm to 45 cm in 12 minutes. Calculate: a. The hydraulic conductivity k of the soil sample .

What is the change in temperature of the brake pads : A 804 kg car is going 20 m/s and the driver has to slam on his brakes to prevent an accident. what is the change in temperature of the brake pads

What is loss in truck operating cost for the logging company : The performance functions of these three routes are: t1=50+0.2v1, t2=80+0.1v2, t3=120 + 0.05v3 t1, t2, t3 and are travel times in minutes; v1, v2, v3 are flows in number of trucks per day.

Calculate difference in the level of mercury : venturi tube is a device made to measure pressure differences as the fluid (air density = 1.2kg/m^3) flows through a constriction. calculate difference in the level of mercury

What is the mass of the box : a child does 350 J of work while pulling a box from the ground up to his tree house with a rope the tree house is 8.4 m above the ground

Determine the maximum moment that can be carried : A rectangular reinforced concrete beam with dimensions b = 14in, d = 25in, and h = 28in is reinforced with three No. 10 bars. Material strengths are fy = 60,000 psi and fc prime = 5,0000 psi.

What is the typical distance : ice, liquid water, and water steam are three phases oof the same substance, meaning, what is the typical distance between water molecules in the liquid phase of water

User Account

All Pages